SOLUTION: Gardening. A square garden has an area of 1089 squared feet, and the gardener wants to install a sprinkler (with a circluar spraying pattern) at the center of the garden. What is t

Algebra ->  Rectangles -> SOLUTION: Gardening. A square garden has an area of 1089 squared feet, and the gardener wants to install a sprinkler (with a circluar spraying pattern) at the center of the garden. What is t      Log On


   

Question 399510: Gardening. A square garden has an area of 1089 squared feet, and the gardener wants to install a sprinkler (with a circluar spraying pattern) at the center of the garden. What is the minimum radius of spray the sprinkler would need in order to water all of the garden?
Round your answer to two decimal places.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A square garden has an area of 1089 squared feet, and the gardener wants to
install a sprinkler (with a circular spraying pattern) at the center of the garden.
What is the minimum radius of spray the sprinkler would need in order to water all of the garden?
:
The minimum radius would be half the diagonal of the garden, right?
:
Side of the garden = sqrt%281089%29
Find the hypotenuse
h = sqrt%282%2Asqrt%281089%29%5E2%29 = sqrt%282%281089%29%29 = sqrt%282178%29
diagonal = 46.669
radius: 23.33 ft